In most people's relationships, the most important person is their child. They want to make sure their child grows up loved and cared for. This is normal, and it can be the norm even after a divorce.
With a child, going through a divorce can be difficult. However, if that's what you have to do, then most people will find a way to get through the situation successfully.
One of the most difficult custody situations to handle is one where one parent is from another country. It's bad enough to deal with child custody concerns when parents are in different states, but handling custody across international lines is a whole different ballgame.